Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 3903419592] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s244 geometric_solution 4.40818034 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.400646360465 0.327832420507 3 0 2 4 0132 0132 1302 0132 0 0 0 0 0 1 0 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.312687274439 0.381258776765 1 5 3 0 2031 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961375333569 1.065464337232 1 2 5 5 0132 1230 2031 1230 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892800277553 0.552360344795 4 5 1 4 3012 0213 0132 1230 0 0 0 0 0 0 1 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744727020651 0.588080167005 3 2 4 3 3012 0132 0213 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.255272979349 0.588080167005 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 32/105*c_1001_0^4 + 11/5*c_1001_0^3 - 67/15*c_1001_0^2 + 1/21*c_1001_0 + 82/15, c_0011_0 - 1, c_0011_2 - 4/3*c_1001_0^4 + 6*c_1001_0^3 - 11/3*c_1001_0^2 - 17/3*c_1001_0 - 10/3, c_0011_4 - 2/3*c_1001_0^4 + 3*c_1001_0^3 - 7/3*c_1001_0^2 - 4/3*c_1001_0 - 5/3, c_0101_0 + 1/3*c_1001_0^4 - c_1001_0^3 - 1/3*c_1001_0^2 + 2/3*c_1001_0 + 4/3, c_0101_3 + c_1001_0^4 - 5*c_1001_0^3 + 4*c_1001_0^2 + 4*c_1001_0 + 3, c_1001_0^5 - 7*c_1001_0^4 + 14*c_1001_0^3 - 3*c_1001_0^2 - 7*c_1001_0 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB